polaris.mesh.reconstruct.cartesian_to_local_geographic

polaris.mesh.reconstruct.cartesian_to_local_geographic(ds: Dataset, u_x: DataArray, u_y: DataArray, u_z: DataArray) → tuple[DataArray, DataArray, DataArray][source]

Convert a vector field from Cartesian coordinates to local geographic coordinates (zonal, meridional, radial) at the reconstruction point.

Parameters:

  • ds (xr.Dataset) – mesh dataset containing geographic coordinates of reconstruction points

  • u_x (xr.DataArray (nCells or nVertices)) – x-component of the vector field in Cartesian coordinates

  • u_y (xr.DataArray (nCells or nVertices)) – y-component of the vector field in Cartesian coordinates

  • u_z (xr.DataArray (nCells or nVertices)) – z-component of the vector field in Cartesian coordinates

Returns:

  • u_zonal (xr.DataArray (nCells or nVertices)) – Zonal component of the vec field in local geographic coordinates

  • u_merid (xr.DataArray (nCells or nVertices)) – Meridional component of the vec field in local geographic coordinates

  • u_radial (xr.DataArray (nCells or nVertices)) – Radial component of the vec field in local geographic coordinates